1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 numbers.

What is the probability of winning?


2. Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue.

What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer 1

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51


Related Questions

tan(A—B)=tanA—tanB/1+tanAtanB​

Answers

Answer:

tan (A−B)=tan(A)−tan(B)/1+tan(A)tan(B)

tan(A−B)=tan(A)−tan(B)/1+tan(A)tan(B)

1+tan(A)tan(B) To prove this, we should know that:

1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)

1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)AND

1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)

1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)We start with:

1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)We start with:tan(A−B)=sin(A−B)/cos(A−B)

cos(A−B)tan(A−B)=sin(A)/cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.Dividing numerator and denominator in (1) by cos(A)cos(B) we get:

cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.Dividing numerator and denominator in (1) by cos(A)cos(B) we get:tan(A−B)=sin(A)/cos(B)−cos(A)/sin(B)/;2cosA)cos(B)/cos(A)cos(B)+sin(A)sin(B)/cos(A)cos(B)

cos(A)cos(B)tan(A−B)=sin(A)cos(B)/cos(A)cos(B)−cos(A)sin(B)cos/(A)cos(B)cos/(A)cos(B)co(A)cos(B)+sin(A)sin(B)/cos(A)cos(B)

cos(A)cos(B)tan(A−B)=sin(A)/cos(A)−sin(B)cos(B)1+sin(A)cos(A)sin(B)cos(B)

cos(A)−sin(B)cos(B)1+sin(A)cos(A)sin(B)cos(B) tan(A−B)=tan(A)−tan(B)/1+tan(A)tan(B)

Step-by-step explanation:

Hope it is helpful....

please help marking brainlist

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

convert mixed fraction to impropoer fraction

What is the image of (4,−8) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer:

(1,-2)

Step-by-step explanation:

you just have to multiply the coordinates by 1/4

4x1/4=1

-8x1/4=-2

so the new coordinates are (1,-2)

The image of the given point is (1,-2).

Important information:

The coordinates of the point are (4,-8).Point is dilated by a scale factor of [tex]\dfrac{1}{4}[/tex] centered at the origin.Dilation:

If a point is dilated by a scale factor of [tex]k[/tex] centered at the origin, then the rule of dilation is defined as:

[tex](x,y)\to (kx,ky)[/tex]

Using the above rule, we get

[tex](4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)[/tex]

[tex](4,-8)\to \left(1,-2\right)[/tex]

Therefore, the image of the given point is (1,-2).

Find out more about 'Dilation' here:

https://brainly.com/question/1002743

State a number that would lie between -2.15 and -2.16 on the number line

Answers

some possibilities would include the following:

2.151, 2.152, 2.153, 2.154, 2.155, 2.156, 2.157, 2.158, 2.159

there are more possibilities, but these are the most simple answers you could give :) hope this helped!

A number that would lie between -2.15 and -2.16 on the number line are 2.151.

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

There are some possibilities would include the following:

2.151, 2.152, 2.153, 2.154, 2.155, 2.156, 2.157, 2.158, 2.159

therefore, the numbers that are between 2.15 and 2.16 are 2.151.

Learn more about number line here:

brainly.com/question/13425491

#SPJ2

Can somebody plz help solve this word problem and write the equation and answer together thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

the answer is page 27
Erik has read 23 pages already and stopped at page 49. From what page did he start from will be
49–23 = 26 which mean, he must have started from page 26

PlS HELP ME!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. Devon gets $0.45 for each of the s programs he sells, so his pay for selling is 0.45s. He gets a $40 flat rate for each game, so his total pay is ...

  p = 0.45s + 40 . . . . . matches choice A

__

7. Robert gets $25 per hour in tips for each of the x hours he works, so his tip earnings are 25x. He gets a $40 flat rate for each day he works, so his total pay for working x hours is ...

  y = 25x +40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This is described by B and C, so choice E is the best.

What is the area of a square with side lengths of 3/5 units?
What is the side length of a square with area 1/16 square units?
What is the volume of a cube with edge lengths of 2/3 units?
What is the edge length of a cube with volume 27/64 cubic units?

Answers

Answer: 1/6

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

TWU is congruent to WUV

(I actually don't know if that's how I'm supposed to answer it but do what you will)

TWU is congruent to WUV

Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791

Answers

Answer: .209

Step-by-step explanation:

took the test

I need help yall. Brainliest for the first person who actually shows their work.
30 pts btw

Answers

Answer:

1. 24.36

2. Do the same thing (follow the steps in the picture)

Step-by-step explanation:

1. 32 because 15 + 38 = 53 and 90 (the right angle) - 53 is 32

Ill give u branliest if u help plsss

The graphs of f (x) and g() are shown.

Answers

Answer:

the Answer is 2 hope that helps

u + 4u (u = 6) Answer please






What're yu still doing up? *_*

Answers

30 is the correct answer also I’ve downed coffee and monster

u + 4u = ?

According to the question, the value of u is 6.

6 + 4(6) = 6 + 24 = 30

u + 4u = 30 (If the value of u is 6)

Ivan is saving money to buy a game. So far he has saved $24, which is two-thirds of the total cost of the game. How much does the game cost?


PLS HELP ME!

Answers

Answer:

36$

24/2*3=$36

Answer:

$18

Step-by-step explanation:

The game costs $24, and so far he has saved three- fourths of the cost.

3/4(24)=x

Which answers flow, clockwise and counterclockwise, in the circular flow model of the economy?
money
natural resources
productivity
goods and services
Choose exactly two answers that are correct.

Answers

Answer:

goods and services

money

Step-by-step explanation:

Answer:

The answer is A. Money and D. Goods and Services.

I took the test

Noah was doing some homework and answered the following questions:



5.5. -3/5=3.3



a) Do you agree with his answers? If you disagree, explain your reasoning.

Answers

Answer:

yes you are correct as 3/5 = 0.6 and 0.6*5.5 = 3.3

every rational numbers is a ________​

Answers

Answer:

Number that can be definitely defined, like 3.75, not 3.777....

Hope that helps!

Step-by-step explanation:

the area of a square is 128x^3y^4 cm^2. what is the length of one side of the square in simplest form​

Answers

Answer:

one side = 8xy²·[tex]\sqrt{2x}[/tex]

Step-by-step explanation:

if the area is 128x^3y^4 then to find one side you must take the square root

[tex]\sqrt{128}[/tex][tex]\sqrt{x^3}[/tex][tex]\sqrt{y^4}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{32}[/tex][tex]\sqrt{x^2}[/tex][tex]\sqrt{x}[/tex][tex]\sqrt{y^2}[/tex][tex]\sqrt{y^2}[/tex] =

2xy²[tex]\sqrt{16}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{x}[/tex] =

8xy²·[tex]\sqrt{2x}[/tex]

Use the Distributive Property on 45x-6

Answers

Answer:

180

Step-by-step explanation:

45 × -6 = 45 × [10+(-6)]45 × (10-6)45 × 4180

Stacy is a makeup artist. She charges a travel fee of $15 and $50 per hour for her services. Write a linear equation to represent this situation.

Answers

Answer:

an addition problem

Step-by-step explanation:

Maria was approved for a 10-year, Federal Unsubsidized student loan in the
amount of $17,700 at a rate of 3.9%. Loan repayment will begin after 4.5
years.

Answers

Answer:

3796.65

Step-by-step explanation:

I = $ 3,106.35

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.9%/100 = 0.039 per year,

then, solving our equation

I = 17700 × 0.039 × 4.5 = 3106.35

I = $ 3,106.35

The simple interest accumulated

on a principal of $ 17,700.00

at a rate of 3.9% per year

for 4.5 years is $ 3,106.35.

$ 6,903.00 - 3,106.35 = 3796.65

Write down 3 specific goals you’d like to accomplish in middle school. Make sure at least 1 is a long-term goal.

Make sure your goals are specific
Be clear and describe exactly what you need to do
The goal has a realistic deadline or time frame for achieving it
Make sure you will know when you’ve achieved the goal

Answers

Answer: SMART Goal: I will keep my locker clean and organized as a sign of respect for myself and to save time.

Achievable: Each week, I will clean out my locker by throwing away anything I don’t need and making sure everything is in its correct place.

Time-Based: I will organize my locker before school starts. I will clean it every week. By the end of the first semester, I’ll automatically know where everything in my locker can be found.

Step-by-step explanation:

4 times 67 please only serious awnsersss

Answers

Answer:

268 hope i helped

Step-by-step explanation:

Answer:

268!

Step-by-step explanation:

You can easily g0ogle this so you don't need to waste points!  

Can someone please help me with this

Answers

Answer:

Step-by-step explanation:

1. Not a function. Fails the vertical line test.

2. It is a quadratic function.

3. It is a linear function.

4. Not a function. Two of the points have the same x-coordinate but different y-coordinates.

Volume of a cylinder the radius Is 5ft the height is 10ft

Answers

The volume of the cylinder is 785.398

Answer:

V = 785.7ft³

Step-by-step explanation:

V = π r² h

V = 22/7 (5) 10

V = 22/7 × 25 ×10

V = 22/7 × 250

V = 22 × 250 ÷ 7

V = 550 ÷ 7

V = 785.7ft³ answer

Answer: The volume of the cylinder is 785.7ft³

What is the sum of the interior angles of this pentagon? MULTIPLE CHOICE EASY

Answers

Answer:

Option B 540 is the amswer

How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?

Answers

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

can u help me please

Answers

Answer:

xy=1.5

-7x=1.75

x+2y=-12.25

(1/3)y=-2

Step-by-step explanation:

A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not selecting a red marble?

Answers

Probablity of selecting a red marble= 35%

Probablity of not selecting a red marble= 100%-35%

=65%

Hope it helps you. Please mark brainliest.

Members of a club are making tie-die t-shirts. They made 104 t-shirts in the first week and need to
make a total of 325 t-shirst. What percent of t-shirts were made in the first week?

Answers

Answer:

34.3%

Step-by-step explanation:

Joe is moving out of his apartment. The elevator can carry, at most, 2500 poundsHe has identical boxes that are each 40 pounds. If Joe weighs 160 pounds, how many boxes can he put on the elevator ?​

Answers

Answer:

58

Step-by-step explanation:

first we want to write an equation and that equation would be

2500=40x+160 now we solve for x

step 1 subtract 160 from each side

2340=40x

then we divide each side by 40

x=58.5

because he cant bring half a box he can only bring 58

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